The triples of $(v,u,\phi)$-contraction and $(q,p,\phi)$-contraction in $b$-metric spaces and its application

Subject Areas : Fixed point theory

E. L. Ghasab ¹ , H. Ebadizadeh ² , J. Sharafi ³

1 - Mathmatics Group, Faculty of Basic Sciences, Emam Ali University, Tehran, Iran
2 - Mathmatics Group, Faculty of Basic Sciences, Emam Ali University, Tehran, Iran
3 - Mathmatics Group, Faculty of Basic Sciences, Emam Ali University, Tehran, Iran

Received: 2022-02-01 Accepted : 2022-03-09 Published : 2022-03-10

Keywords: p, $b$-metric space‎, ‎$(v, u, ‎$(q, ‎$phi$-function‎, phi)$-contraction‎, phi)$-contraction,

Abstract :

‎The aim of this work is to introduce the concepts of $(v‎, ‎u‎, ‎\phi)$-contraction and $(q‎, ‎p‎, ‎\phi)$-contraction‎, ‎and to obtain new results in fixed point theory for four mappings in $b$-metric spaces‎. ‎Finally‎, ‎we have developed an example and an application for a system of integral equations that protects the main theorems‎.

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